21st Century COE Program : Mathematics of Nonlinear Structure via Singularity

Fiscal Year 2009

van Koert, Otto Ferdinand Bernard(Post Doctorial Fellow,Geometry, - August, 2009)

Research Interest: Contact topology
Keyword(s): Contact topology, contact homology, open book decompositions, symplectic topology
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Fiscal Year 2008

Suzuki, Akito (Post Doctorial Fellow,Analysis, - December 31, 2008)

Research Interest: Mathematical physics, Quantum field theory
Keyword(s): Fock space, Scaling limit, Indefinite metric quantum field theory, Gupta-Bleuler formalism
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Chung, Ginmo J.(Research Fellow,Applied Mathematics)

Research Interest: image analysis, numerical analysis
Keyword(s): image restoration, numerical methods for solving PDEs, curve evolution, calculus of variation.
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Fiscal Year 2007

ABE,Takuro (COE Research Fellow,Algebra, April 1, 2006 - March 31, 2008)

Research Interest: Algebraic Geometry, Hyperplane arrangement
Keyword(s):vector bundle, hyperplane arrangement, logarithmic vector field
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CHUNG, Ginmo J. (COE Research Fellow,Applied Mathematics, August 20, 2007 - March 31, 2008)

Research Interest: image analysis, numerical analysis
Keyword(s):image restoration, numerical methods for solving PDEs, curve evolution, calculus of variation.
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HATAKEYAMA, Motohiko (COE Research Fellow,Applied Mathematics, September 1, 2002 - March 31, 2008)

Research Interest: Brain science, Theoretical biology
Keyword(s):Theory of measurement, Process of inference, Consciousness
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HATTORI, Shin (COE Research Fellow,Algebra, April 1, 2007 - March 31, 2008)

Research Interest: number theory, arithmetic algebraic geometry
Keyword(s):torsion Galois representation, finite flat group scheme, integral $p$-adic Hodge theory, ramification theory, modular form
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IZUCHI, Kou Hei(COE Research Fellow,Analysis, April 1, 2007 - March 31, 2008)

Research Interest: Complex Analysis, Functional Analysis
Keyword(s):Analytic Function Spaces, Invariant Subspaces
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KANG, Hunseok (COE Research Fellow,Applied Mathematics, June 4, 2007 - March 31, 2008)

Research Interest: Applied Dynamical System
Keyword(s):Nonlinear Dynamics, Dimension Theory, and Wavelet
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KOBAYASHI, Yasuyuki (COE Research Fellow,Analysis, September 15, 2002 - March 31, 2008)

Research Interest: Function Theory
Keyword(s):Function Spaces, Bounded Analytic Funcitons, Riemann Surfaces
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KOSUGI, Satoshi (COE Research Fellow,Analysis, April 1, 2007 - March 31, 2008)

Research Interest: Partial Differential Equations
Keyword(s):Domain deformation, Singular perturbation
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KURODA, Shigeru(COE Research Fellow,Applied Mathematics, April 1, 2005 - March 31, 2008)

Research Interest: Theoretical brain science, Dynamical systems
Keyword(s):high dimensional dynamical systems,coupled neural networks,coding,hippocampus,episodic memory
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MAEKAWA, Yasunori (Post Doctorial Fellow,Analysis, October 1, 2007 - March 31, 2008)

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MINABE, Satoshi (COE Research Fellow,Geometry, June 16, 2007 - March 31, 2008)

Research Interest: Geometry, Mathematical Physics
Keyword(s):Gromov-Witten invariants, Mirror symmetry, Gopakumar-Vafa invariants, Donaldson-Thomas invariants, Nekrasov's partition function, Topological vertex
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YAMAUCHI, Yusuke(Research Fellow,Analysis, - March 31, 2008)

Research Interest: Partial Differential Equations
Keyword(s): Blowup solutions, Reaction-diffusion equation, System of partial differential equations
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NUMATA, Yasuhide (COE Research Fellow,Algebra, April 1, 2007 - March 31, 2008)

Research Interest: Representation theoretical combinatorics, Combinatorial representation theory
Keyword(s):Young diagrams, generalized Schur operators, differential posets, Robinson-Schensted-Knuth correspondence, bijection, enumerative combinatorics, growth of trees
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SASAKI, Itaru (Post Doctorial Fellow,Analysis, April 1, 2007 - March 31, 2008)

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SAJI, Kentaro (Geometry, Post Doctorial Fellow: April 1, 2005 - March 31, 2007/ COE Research Fellow: April 1, 2007 - March 31, 2008)

Research Interest: Singularity theory, Topology
Keyword(s):Singularity theory, surfaces, Voronoi diagrams
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TADOKORO, SATORU (COE Research Fellow,Applied Mathematics, September 1,2002 - March 31, 2008)

Research Interest: Applied Mathematics
Keyword(s):Chaotic Itinerancy, Neuron, Gap Junction, Synchronization
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TERASAWA, Yutaka (Post Doctorial Fellow,Analysis, April 1, 2007 - March 31, 2008)

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KORI, Hiroshi (COE Research Fellow,Applied Mathematics, April 1, 2006- February 29, 2008)

Research Interest: nonlinear dynamical systems, coupled oscillator systems
Keyword(s):synchronization, pattern formation, complex systems, networks, bifurcation
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SAWADA, Okihiro (COE Research Fellow,Analysis, April 1, 2007- August 31, 2007)

Research Interest: Partial Differential Equations
Keyword(s):Navier-Stokes equations, harmonic analysis
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Fiscal Year 2006

NAGAYASU, Sei (Post Doctorial Fellow,Analysis, April 1, 2006- March 31, 2007)

Research Interest: Partial differential equations
Keyword(s): Inverse problems, wave equations, elastic equations, nondestructive inspections, layered media.
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MORIYA, Hajime (COE Research Fellow,Applied Mathematics, June 10, 2005- March 31, 2007)

Research Interest: mathematical physics, quantum physics, quantum statistical mechanics
Keyword(s): Graded operator algebras, superselection rules, spontaneous symmetry breaking, quantum entropy
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HIRATA, Kentaro (COE Research Fellow,Analysis, April 1, 2005- March 31, 2007)

Research Interest: Potential Theory
Keyword(s): (super/sub) harmonic function, Green function, Martin theory, Bergman-Laplace equation, nonlinear elliptic equation, parabolic equation, p-Laplace equation
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KASAHARA, Yukio(COE Research Fellow,Applied Mathematics, April 1, 2005-March 31, 2007)

Research Interest: Probability Theory, Real Analysis
Keyword(s):Prediction Theory, Stochastic Processes, Time Series Analysis, Hardy spaces
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OKABE, SHINYA (COE Research Fellow,Analysis, April 1, 2005-March 31, 2007)

Research Interest: Nonlinear partial differential equation, Variational method
Keyword(s): Dynamics of elastic curves, Nonlinear elliptic equation, Nonlinear parabolic equation
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SHIMAKURA, Hiroki (COE Research Fellow,Algebra, April 1, 2005- March 31, 2007)

Research Interest: vertex operator algebra, finite group theory, combinatorics
Keyword(s): moonshine module, monster, lattices, codes
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KATSURA, Takeshi (Post Doctorial Fellow,Analysis, April 1, 2004- March 31, 2007)

Research Interest: Operator Algebra
Keyword(s): Operator algebras, C*-algebras, dynamical systems, topological graphs
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TAKAHASHI, Masatomo (COE Research Fellow,Geometry, - March 31, 2007)

Research Interest: Differential Topology, Singularity Theory
Keyword(s): singular points, Lagrange singularity theory, Legendre singularity theory, differential equations, differential systems, Lorentz geometry, hyperbolic geometry

WATANABE, Michiyuki (Research Fellow,Analysis, - March 31, 2007)

Research Interest: Partial differential equations
Keyword(s):Inverse scattering problems, Inverse boundary value problems, Nonlinear waves
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CHO, Yonggeun (Post Doctorial Fellow,Analysis, Nobember 29, 2004-January 28, 2007)

Research Interest: Harmonic Analysis, PDE
Keyword(s): Maximal Schroedinger operator, Strichartz estimate, Navier-Stokes equation, Nonlinear dispersive equation
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Harashita, Shushi (Post Doctorial Fellow,Algebra, 2007)

Research Interest: Algebraic Geometry, Number Theory
Keyword(s): moduli space, abelian varities, supersingular loci, Ekedahl-Oort stratatification
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Fiscal Year 2005

van Manen Martijn (COE Research Fellow,Geometry, June 1, 2004-May 31, 2006)

Research Interest: Geometry
Keyword(s): Differential geometry, singularity theory br>» More...
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YAMAMOTO, Minoru (COE Research Fellow,Geometry, April 1, 2004-March 31, 2006)

Research Interest: Differential topology
Keyword(s): global singularity theory, generic map
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FORBES, Brian (COE Research Fellow,Geometry, August 1, 2004-March 31, 2006)

Research Interest: The mathematics of dualities in string theory
Keyword(s): Mirror symmetry, duality, geometric transitions
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Arima, Ken-ichiro (COE Research Fellow,Algebra April 26, 2004-March 31, 2006)

Research Interest: algebraic geometry
Keyword(s): index one cover, surface singularity, positive characteristic
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Sano, Yuji (COE Researcher,Geometry, April 11, 2005-Junuary 31, 2006)

Research Interest: complex geometry

Keyword(s): canonical Kahler metrics, Geometric Invariant Theory
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Fiscal Year 2004

Sini, Mourad(Post Doctorial Fellow,Applied Mathematics, May 15, 2003- May 15, 2005)

Research Interest: Inverse Problems and Spectral theory of operators
Keyword(s):Localization of eigenvalues, Identification of coefficients, Dirichlet-Neumann map
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» research report [Fiscal Year 2003] , Elastography

Frauenfelder, Urs Adrian(Post Doctorial Fellow,Geometry, April 1, 2004-March 31, 2005)

Research Interest: Symplectic geometry

Keyword(s):Arnold-Givental conjecture, Hamiltonian group actions, Floer homology, Symplectic vortex equations
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Abe, Takayuki(COE Researcher,Analysis, January 19, 2004-March 31, 2005)

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WATANABE, Michiyuki(COE Researcher,Applied Mathematics, October 1, 2003-March 31, 2005)

Research Interest: Partial Differential Equations

Keyword(s):Scattering . Inverse problems
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UMEDA, Noriaki(COE Researcher,Analysis, October 1, 2003-March 31, 2005)

Research Interest: Solution of reaction-diffusion equation

Keyword(s):reaction-diffusion, heat equation, parabolic, system, blow-up, global, uniqueness, asymptotic behavior
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SASAHARA, Toru(COE Research Fellow,Geometry, September 15, 2003-March 31, 2005)

Research Interest: Differential Geometry

Keyword(s):CR submanifolds, Lagrangian submanifolds, Legendre submanifolds, Biharmonic maps.
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AOI, Hisashi(COE Researcher,Analysis, September 1, 2003-March 31, 2005)

Keyword(s): von Neumann Algebras, Ergodic Theory, Quantum gruops

Research Interest: Functional Analysis, Operator Algebra
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Tai, Pho D. Tai(Post Doctorial Fellow,Algebra,November 26, 2002-November 25, 2004)

Keyword(s): torus curve, fundamental group, Alexander polynomial

Research Interest: Topology of complex algebraic curves, Symbolic computation.
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ADACHI, Jiro(COE Researcher,Geometry,October 1, 2003-September 30, 2004)

Keyword(s): tangent distributions, differential systems, contact topology, Engel structures, non-holonomic systems

Research Interest: Differential Topology
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SETO, Michio(COE Researcher,Analysis,September 15, 2003-September 30, 2004)

Keyword(s): Multi-variable Operator Theory, Hardy Space over the Polydisk, Hardy Submodules, Toeplitz Operators, Toeplitz Algebra, Beurling's Theorem

Research Interest: Functional Analysis, Operator Theory
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CHIANG, River(COE Researcher,Geometry,December 22, 2003-August 31, 2004)

Keyword(s): Symplectic geometry, Hamiltonian group actions, Moment maps, Lagrangian submanifolds

Research Interest: Symplectic Geometry
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Fiscal Year 2003

SAAL, Juergen(COE Researcher,Analysis,October 1, 2003-March 30, 2004)

Keyword(s): Partial differential equations, Functional calculus, Parabolic equations and systems, Stokes and Navier-Stokes equations, Groups and semigroups of linear operators

Research Interest: Stokes and Navier-Stokes equations, Semigroup Theory, Maximal Regularity, Bounded H^\infty-Calculus for Linear Operators
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YAMAGAMI, Atsushi(COE Researcher,Algebra,September 15, 2003-March 30, 2004)

Keyword(s): deformation theory of Galois representations, modular forms and Hecke algebras

Research Interest: Algebraic number theory
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